the dinner special at a restaurant, the customer must choose a salad, an entree, a side dish, and a dessert. Here are the items to choose from. Choice Possible items Salad Southwest, Caesar Entree Lamb, Roast turkey, Salmon, Grilled chicken Side dish Corn, Pinto beans, French fries Dessert Chocolate cake, Apple pie, Cheesecake How many dinner specials are possible?
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Here are the items to choose from.
| Choice | Possible items |
|---|---|
| Salad | Southwest, Caesar |
| Entree | Lamb, Roast turkey, Salmon, Grilled chicken |
| Side dish | Corn, Pinto beans, French fries |
| Dessert | Chocolate cake, Apple pie, Cheesecake |
How many dinner specials are possible?
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